Distributions and Sobolev spaces. Theory of linear PDEs including variational formulation of elliptic problems, weak formulation and regularity of solutions for evolution problems (parabolic and hyperbolic equations). System of conservation laws / Semigroup theory and non-variational techniques (fixed point methods) for nonlinear evolution equations. Applications. Three term hours; lectures. (3.0 credit units)
Distributions and Sobolev spaces. Theory of linear PDEs including variational formulation of elliptic problems, weak formulation and regularity of solutions for evolution problems (parabolic and hyperbolic equations). System of conservation laws / Semigroup theory and non-variational techniques (fixed point methods) for nonlinear evolution equations. Applications. Three term hours; lectures. (3.0 credit units)
